The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 15NB54 # Created Sun Oct 19 01:11:03 2025 # Orbit generated from Bernstein formalism # Fitting 20 observations of 20 # Arc: 1.00y # First observation: 2015/07/12 # Last observation: 2016/07/12 Preliminary a, adot, b, bdot, g, gdot: -0.000015 0.034817 0.000004 0.004862 0.028804 0.000000 # Chi-squared of fit: 9.42 DOF: 34 RMS: 0.12 # Min/Max residuals: -0.29 0.29 # Exact a, adot, b, bdot, g, gdot: 1.940638E-05 3.503557E-02 2.173675E-06 4.898854E-03 2.907030E-02 5.967744E-03 # Covariance matrix: 2.8108E-13 5.6492E-12 -4.9453E-14 8.6334E-13 3.9285E-12 1.7103E-10 5.6492E-12 1.4201E-09 -6.2888E-12 1.9331E-10 4.1882E-10 4.0492E-08 -4.9453E-14 -6.2888E-12 1.6888E-13 -1.0109E-12 -2.2917E-12 -1.8052E-10 8.6334E-13 1.9331E-10 -1.0109E-12 2.6680E-11 5.8403E-11 5.5170E-09 3.9285E-12 4.1882E-10 -2.2917E-12 5.8403E-11 1.6426E-10 1.2053E-08 1.7103E-10 4.0492E-08 -1.8052E-10 5.5170E-09 1.2053E-08 1.1551E-06 # lat0 lon0 xBary yBary zBary JD0 12.030791 -24.133331 0.733335 0.147126 -0.689911 2457215.937109 # Heliocentric elements and errors Epoch: 2457210.5000 = 2015/07/07 Mean Anomaly: 13.54639 +/- 1.937 Argument of Peri: 24.24723 +/- 5.010 Long of Asc Node: 279.96689 +/- 0.007 Inclination: 14.34943 +/- 0.001 Eccentricity: 0.37460627 +/- 0.0234 Semi-Major Axis: 53.89267630 +/- 1.2057 Time of Perihelion: 2451772.8129 +/- 755.7 Perihelion: 33.70414188 +/- 1.4705 Aphelion: 74.08121071 +/- 2.0834 Period (y) 395.6424 +/- 13.28 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.04396815 +/- 0.0135 Ecliptic Y -14.71297369 +/- 0.0061 Ecliptic Z 7.17024833 +/- 0.0032 Ecliptic XDOT 0.00176069 +/- 0.0001 Ecliptic YDOT 0.00281955 +/- 0.0000 Ecliptic ZDOT 0.00056846 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.09433023 +/- 0.0123 Geocenter to KBO 34.39937555 +/- 0.0152 # Hcoef: 9.39
The following table shows the complete astrometric record for 15NB54. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (15NB54) followed by the observatory code and reference code for the source of the astrometry.
2015 07 12.43632 22 13 01.08 +01 50 37.5 24.3z 15NB54 T09 C~90Hh 2015 07 12.44709 22 13 01.06 +01 50 37.3 24.4z 15NB54 T09 C~90Hh 2015 07 12.45250 22 13 01.01 +01 50 37.3 24.1z 15NB54 T09 C~90Hh 2015 07 12.46603 22 13 00.99 +01 50 37.3 24.5z 15NB54 T09 C~90Hh 2015 07 12.49036 22 13 00.89 +01 50 37.3 24.4z 15NB54 T09 C~90Hh 2015 07 20.43870 22 12 30.23 +01 50 03.5 24.8i 15NB54 T09 C~90Hh 2015 07 20.45573 22 12 30.15 +01 50 03.5 25.1i 15NB54 T09 C~90Hh 2015 07 20.47757 22 12 30.06 +01 50 03.0 25.0i 15NB54 T09 C~90Hh 2015 07 20.49668 22 12 29.98 +01 50 03.2 25.0i 15NB54 T09 C~90Hh 2015 07 20.51872 22 12 29.91 +01 50 03.0 24.7i 15NB54 T09 C~90Hh 2015 07 20.53526 22 12 29.82 +01 50 02.8 24.5i 15NB54 T09 C~90Hh 2016 07 05.44043 22 20 22.52 +02 49 21.8 24.8i 15NB54 T09 C~90Hh 2016 07 05.47038 22 20 22.42 +02 49 21.8 24.7i 15NB54 T09 C~90Hh 2016 07 05.48397 22 20 22.40 +02 49 21.8 24.5i 15NB54 T09 C~90Hh 2016 07 05.49486 22 20 22.35 +02 49 21.8 24.4i 15NB54 T09 C~90Hh 2016 07 07.45792 22 20 16.46 +02 49 28.5 26.1g 15NB54 T09 C~90Hh 2016 07 07.46638 22 20 16.43 +02 49 28.3 25.9g 15NB54 T09 C~90Hh 2016 07 07.46850 22 20 16.43 +02 49 28.3 26.4g 15NB54 T09 C~90Hh 2016 07 12.41799 22 20 00.18 +02 49 33.1 23.7z 15NB54 T09 C~90Hh 2016 07 12.43685 22 20 00.13 +02 49 33.1 24.5z 15NB54 T09 C~90Hh
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 -0.07 0.00 0.10
2 0.0000 -0.35 0.13 -0.08 -0.18
3 0.0000 -1.05 -0.29 0.19 -0.00
4 0.0001 -1.33 0.13 0.30 -0.14
5 0.0001 -2.73 -0.00 0.85 -0.05
6 0.0219 -443.27 0.03 136.32 0.04
7 0.0220 -444.39 -0.05 136.76 0.19
8 0.0220 -445.83 -0.14 136.78 -0.14
9 0.0221 -446.87 -0.01 137.40 0.16
10 0.0221 -447.92 0.29 137.60 -0.00
11 0.0222 -449.25 -0.02 137.90 0.03
12 0.9829 7446.99 0.09 885.62 0.16
13 0.9830 7445.60 -0.10 886.16 0.10
14 0.9830 7445.32 0.17 886.27 -0.07
15 0.9830 7444.62 -0.09 886.54 -0.01
16 0.9884 7364.68 0.05 924.75 0.04
17 0.9884 7364.19 -0.08 924.72 -0.15
18 0.9885 7364.19 0.01 924.72 -0.19
19 1.0020 7138.72 -0.15 1017.37 0.10
20 1.0021 7138.02 0.09 1017.64 0.02
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
15NB54 quality flag:1 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 54.328 60.024 50.769 ecceobj 0.379 0.462 0.312 incobj 14.375 14.378 14.372 qmin 32.399 30.390 33.820 qmax 77.234 93.756 68.262 amean 54.053 59.831 50.668 amin 52.924 56.525 50.075 amax 55.607 62.668 51.341 emean 0.378 0.466 0.313 emin 0.354 0.418 0.294 emax 0.400 0.500 0.331 imean 15.763 15.350 15.727 imin 14.515 12.566 14.798 imax 17.026 17.831 16.650 excite_mean 0.466 0.536 0.414 fracstop 1.000 1.000 1.000 cjmean 2.943 2.907 2.966 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 172.9 168.0 179.8 kozaiamp 180.0 180.0 180.0